1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
wel
2 years ago
7

Write the equation of the parabola with a focus (-1 4) and directrix y = 3

Mathematics
1 answer:
Reil [10]2 years ago
3 0
Parabola
4P(y-k)=(x-h)^2
where (h,k) is vertex
P is distance from vertex to focus which is also equalt to distance from vertex to directix

we plot those points and see it opens up (don't cross directix)
P is positive
from 4 to 3 is a distace of 1
1/2=1/2
P=1/2
3+1/2=3.5
the vertex is (-1,3.5)

4(1/2)(y-3.5)=(x+1)^2
2(y-3.5)=(x+1)^2

put in vertex form (solve for y)
divide both sides by 2
y-3.5=(1/2)(x+1)^2
add 3.5
y=(1/2)(x+1)^{2}+3.5
You might be interested in
Sanchez applied 6 fluid Ounces of an herbicide per acre on 300 acres of com. How many gallons
kumpel [21]

Answer:

Sanchez applied 1,800 fluid ounces of herbicide to his 300 acres of corn.

Step-by-step explanation:

Let's identify what we already know:

1) Sanchez has 300 acres of corn

2) For every 1 acre, Sanchez applies 6 fluid ounces of an herbicide.

So, we need to figure out how many fluid ounces Sanchez used for the entire six acres. We can create a formula for this:

300 acres x 6 fluid ounces = x

x equals total number of fluid ounces. We multiple the number of acres by the fluid ounces, to get 1,800 fluid ounces for the entire 300 acres of corn.

3 0
3 years ago
5(2x − 12) + 21 = 2x + 41<br><br> I know the answer is 10 but can someone explain how to get that?
dsp73
5(2x-12)+21=2x+41\\\\5\cdot2x-5\cdot12+21=2x+41\\\\10x-60+21=2x+41\\\\10x-39=2x+41\qquad|+39\\\\10x-39+39=2x+41+39\\\\10x=2x+80\qquad|-2x\\\\10x-2x=2x+80-2x\\\\8x=80\qquad|:8\\\\\boxed{x=10}
6 0
3 years ago
Read 2 more answers
Find two numbers if their sum is 115 and their difference is 7
kobusy [5.1K]

Answer:

54+61

Step-by-step explanation:

54 + 61 = 115

61 - 54 = 7

4 0
3 years ago
Is 25, 5, and 1 an arithmetic or geometric sequence
damaskus [11]

Answer:

geometric sequence

Step-by-step explanation:

When you divide or multiply, this implies that you are dealing with a geometric sequence.

8 0
2 years ago
Dominique bikes 1/6 mile every day. How many days will it take her to bike 8 miles?​
Bond [772]
1/6 of a mi - 1 day, 2/6 of a mi- 2 days, 3/6 of a mi- 3 days, 4/6 of a mi- 4 days, 5/6 of a mile - 5 days, 1 mile - 6 days, 1 1/6 mi - 7 days, 1 2/6 mi - 8 days , so on & so forth, do you understand ?
7 0
3 years ago
Read 2 more answers
Other questions:
  • Please help, will mark brainliest!
    8·1 answer
  • Change-1.75 to degree measure &amp; round to the nearest tenth.
    10·2 answers
  • PLS help<br> solve for x: -6(2x-5) = 18
    5·1 answer
  • 25 points/ brainlyest help plzzzz check the photo
    13·1 answer
  • How can you solve an equation with a variable on both sides
    10·2 answers
  • Find the values of the variables
    8·1 answer
  • Bobby and Gautham each save the same amount of money from each lawn they mow. What must be true for Gautham to have more money t
    14·1 answer
  • Don’t worry bout the answer on the top but can someone help with two and fast ...???
    12·1 answer
  • Thanks been trying for ages
    6·1 answer
  • Evaluate the equation of 3 x 10^-2
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!